Topological and Algebraic Structures in Fuzzy Sets A Handbook of Rec
This volume summarizes recent developments in the topological and algebraic structures in fuzzy sets and may be rightly viewed as a continuation of the stan dardization of the mathematics of fuzzy sets established in the "Handbook", namely the Mathematic
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TRENDS IN LOGIC Studia Logica Library VOLUME20 Managing Editor Ryszard Wojcicki, Institute of Philosophy and Sociology, Polish Academy of Sciences, Warsaw, Poland Editors Daniele Mundici, Department of Mathematics "Ulisse Dini ", University of Florence, Italy Ewa Orlowska, National Institute of Telecommunications, Warsaw, Poland Graham Priest, Department of Philosophy, University of Queensland, Brisbane, Australia Krister Segerberg, Department of Philosophy, Uppsala University, Sweden Alasdair Urquhart, Department of Philosophy, University of Toronto, Canada Heinrich Wansing, Institute of Philosophy, Dresden University of Technology, Germany
SCOPE OF THE SERIES Trends in Logic is a bookseries covering essentially the same area as the journal Studia Logica - that is, contemporary formal logic and its applications and
relations to other disciplines. These include artificial intelligence, informatics, cognitive science, philosophy of science, and the philosophy of language. However, this list is not exhaustive, moreover, the range of applications, comparisons and sources of inspiration is open and evolves over time.
Volume Editor Daniele Mundici
The titles published in this series are listed at the end of this volume.
TOPOLOGICAL AND ALGEBRAIC STRUCTURES IN FUZZY SETS A Handbook of Recent Developments in the Mathematics of Fuzzy Sets Edited by
STEPHEN ERNEST RODABAUGH Youngstown State University, Youngstown, U.S.A.
and
ERICH PETER KLEMENT Johannes Kepler Universitiit, Linz, Austria
SPRINGER-SCIENCE+BUSINESS MEDIA, B.V.
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-94-017-0231-7 (eBook) ISBN 978-90-481-6378-6 DOI 10.1007/978-94-017-0231-7
Printed on acid-free paper
All Rights Reserved
© 2003 Springer Science+Business Media Dordrecht
Originally published by Kluwer Academic Publishers in 2003 Softcover reprint of the hardcover 1st edition 2003 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.
TABLE
OF
CONTENTS
Volume Contributors ...................................................... vii Preface .................................................................... xi
INTRODUCTION ............................................................. 1
PART I: TOPOLOGICAL STRUCTURES IN
Fuzzy
SETS
Chapter 1: Uniform Completion In Pointfree Topology B. Banaschewski ............................................... 19 Chapter 2: Monadic Convergence Structures W. Gahler ..................................................... 57 Chapter 3: A Unified Approach To The Concept Of Fuzzy £-Uniform Space J. Gutierrez Garcia, M.A. de Prada Vicente, A. P. Sostak ...... 81 Chapter 4: Many Valued Topologies And Borel Probabil
